I am trying to fit a regression model to zero-inflated data with a lognormal distribution using r. The histogram looks like this:

I did some research on the net. So far I believe there is no possibility to fit these conditions to glm. I found the gamlss function as the possibility to fit a lognormal distribution with the LOGNO family. However I get an error: "family = LOGNO, : response variable out of range" - maybe because of the zero inflation?

To make my question a little clearer: I am trying to investigate the influence of various Aminoacid combinations collected under certain conditions on a certain ratio. The ratio is my response variable plotted in the shown histogram. In the end I end up with a continuous response variable and some other categorical independent variables

Has anyone an idea how I can deal with the above-mentioned problem? I couldn't find a solution so far! Thank you!